Solve the Problem $\$ 200.00$ ;
B, C, and D Are All Multiples of 3

Multiple Choice

Solve the problem.
-The sale price on an outfit Sally wanted was a 5-digit palindromic number, say $abc.de, satisfying the given conditions:
Sally would never pay over $\$ 200.00$ ;
b, c, and d are all multiples of 3 ;
$c = ( d + b ) - 12 ;$
the sum of all the digits is a multiple of 13;
$\mathrm { a } + \mathrm { e } = ( \mathrm { b } + \mathrm { d } ) - 16 ; \text { and } \mathrm { c } = 3 ( \mathrm { a } + \mathrm { e } ) \text {. }$
What amount does she owe the salesperson?

A) $\$ 296.92$
B) $\$ 196.91$
C) $\$ 136.31$
D) $\$ 193.91$